A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

Question

How far did the player run?
Round your answer to the nearest meter.

Answer 1

Using the Pythagorean theorem, we can find the distance the player ran:

a² + b² = c²

where a = 64m (width), b = 100m (length), and c is the diagonal distance run by the player.

64² + 100² = c²

4096 + 10000 = c²

14196 = c²

c ≈ √14196

c ≈ 119.1m

Rounding to the nearest meter, the player ran approximately 119 meters.